### Abstract

The Half-Half (HH) plot is a new graphical method to investigate qualitatively the shape of a regression curve. The empirical HH-plot counts observations in the lower and upper quarter of a strip that moves horizontally over the scatter plot. The plot displays jumps clearly and reveals further features of the regression curve. We prove a functional central limit theorem for the empirical HH-plot, with rate of convergence 1=p n. In a simulation study the good performance of the plot is demonstrated. The method is also applied to two case studies.

Original language | English |
---|---|

Place of Publication | Tilburg |

Publisher | Econometrics |

Number of pages | 24 |

Volume | 2009-77 |

Publication status | Published - 2009 |

### Publication series

Name | CentER Discussion Paper |
---|---|

Volume | 2009-77 |

### Keywords

- Data analysis
- functional central limit theorem
- graphical methods
- jump detection
- nonparametric regression

## Fingerprint Dive into the research topics of 'The Half-Half Plot'. Together they form a unique fingerprint.

## Cite this

Einmahl, J. H. J., & Gantner, M. (2009).

*The Half-Half Plot*. (CentER Discussion Paper; Vol. 2009-77). Econometrics.